3338407429152 has 48 divisors (see below), whose sum is σ = 8874247616640. Its totient is φ = 1098716366592.

The previous prime is 3338407429141. The next prime is 3338407429169. The reversal of 3338407429152 is 2519247048333.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3338407429152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3338407429095 and 3338407429104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220087843 + ... + 220103010.

It is an arithmetic number, because the mean of its divisors is an integer number (184880158680).

Almost surely, 2^{3338407429152} is an apocalyptic number.

3338407429152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3338407429152 is an abundant number, since it is smaller than the sum of its proper divisors (5535840187488).

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

3338407429152 is a wasteful number, since it uses less digits than its factorization.

3338407429152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440190945 (or 440190937 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 3338407429152 in words is "three trillion, three hundred thirty-eight billion, four hundred seven million, four hundred twenty-nine thousand, one hundred fifty-two".