3394040832 has 704 divisors, whose sum is σ = 13205606400. Its totient is φ = 836075520.

The previous prime is 3394040789. The next prime is 3394040843. The reversal of 3394040832 is 2380404933.

It is a happy number.

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

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, 47803357 + ... + 47803427.

Almost surely, 2^3394040832 is an apocalyptic number.

3394040832 is a gapful number since it is divisible by the number (32) 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 3394040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602803200).

3394040832 is an abundant number, since it is smaller than the sum of its proper divisors (9811565568).

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

3394040832 is a wasteful number, since it uses less digits than its factorization.

3394040832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3394040832 is about 58258.3970943245. The cubic root of 3394040832 is about 1502.8155757155.

The spelling of 3394040832 in words is "three billion, three hundred ninety-four million, forty thousand, eight hundred thirty-two".