3340407004032 has 128 divisors (see below), whose sum is σ = 10145133987840. Its totient is φ = 953967863808.

The previous prime is 3340407004021. The next prime is 3340407004043. The reversal of 3340407004032 is 2304007040433.

It is an interprime number because it is at equal distance from previous prime (3340407004021) and next prime (3340407004043).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3340407004032² (a number of 26 digits) contains 22 as substring.

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, 5650878 + ... + 6213954.

It is an arithmetic number, because the mean of its divisors is an integer number (79258859280).

Almost surely, 2^{3340407004032} is an apocalyptic number.

3340407004032 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 3340407004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072566993920).

3340407004032 is an abundant number, since it is smaller than the sum of its proper divisors (6804726983808).

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

3340407004032 is a wasteful number, since it uses less digits than its factorization.

3340407004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565308 (or 565296 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 30.

The spelling of 3340407004032 in words is "three trillion, three hundred forty billion, four hundred seven million, four thousand, thirty-two".