3432291840 has 640 divisors, whose sum is σ = 13576273920. Its totient is φ = 817496064.

The previous prime is 3432291829. The next prime is 3432291851. The reversal of 3432291840 is 481922343.

It is an interprime number because it is at equal distance from previous prime (3432291829) and next prime (3432291851).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 3432291795 and 3432291804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27025857 + ... + 27025983.

It is an arithmetic number, because the mean of its divisors is an integer number (21212928).

Almost surely, 2^3432291840 is an apocalyptic number.

3432291840 is a gapful number since it is divisible by the number (30) 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 3432291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788136960).

3432291840 is an abundant number, since it is smaller than the sum of its proper divisors (10143982080).

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

3432291840 is a wasteful number, since it uses less digits than its factorization.

3432291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3432291840 is about 58585.7648238887. The cubic root of 3432291840 is about 1508.4401007282.

The spelling of 3432291840 in words is "three billion, four hundred thirty-two million, two hundred ninety-one thousand, eight hundred forty".