3432027456 has 896 divisors, whose sum is σ = 13518489600. Its totient is φ = 836075520.

The previous prime is 3432027451. The next prime is 3432027479. The reversal of 3432027456 is 6547202343.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3432027456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432027451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79814571 + ... + 79814613.

It is an arithmetic number, because the mean of its divisors is an integer number (15087600).

Almost surely, 2^3432027456 is an apocalyptic number.

3432027456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759244800).

3432027456 is an abundant number, since it is smaller than the sum of its proper divisors (10086462144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3432027456 is a wasteful number, since it uses less digits than its factorization.

3432027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3432027456 is about 58583.5083961348. The cubic root of 3432027456 is about 1508.4013688171.

Adding to 3432027456 its reverse (6547202343), we get a palindrome (9979229799).

It can be divided in two parts, 34320 and 27456, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 3432027456 in words is "three billion, four hundred thirty-two million, twenty-seven thousand, four hundred fifty-six".