3429231456 has 96 divisors (see below), whose sum is σ = 10298147328. Its totient is φ = 978785280.

The previous prime is 3429231433. The next prime is 3429231479. The reversal of 3429231456 is 6541329243.

3429231456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3429231433) and next prime (3429231479).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885781 + ... + 889643.

It is an arithmetic number, because the mean of its divisors is an integer number (107272368).

Almost surely, 2^3429231456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429231456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149073664).

3429231456 is an abundant number, since it is smaller than the sum of its proper divisors (6868915872).

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

3429231456 is a wasteful number, since it uses less digits than its factorization.

3429231456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5196 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 3429231456 is about 58559.6401628289. The cubic root of 3429231456 is about 1507.9916366592.

The spelling of 3429231456 in words is "three billion, four hundred twenty-nine million, two hundred thirty-one thousand, four hundred fifty-six".