34381152001 has 16 divisors (see below), whose sum is σ = 39777494400. Its totient is φ = 29106200448.

The previous prime is 34381151999. The next prime is 34381152007. The reversal of 34381152001 is 10025118343.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34381152001 - 2¹ = 34381151999 is a prime.

It is a super-2 number, since 2×34381152001² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34381152007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881035 + ... + 2892943.

It is an arithmetic number, because the mean of its divisors is an integer number (2486093400).

Almost surely, 2^34381152001 is an apocalyptic number.

It is an amenable number.

34381152001 is a deficient number, since it is larger than the sum of its proper divisors (5396342399).

34381152001 is a wasteful number, since it uses less digits than its factorization.

34381152001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 34381152001 in words is "thirty-four billion, three hundred eighty-one million, one hundred fifty-two thousand, one".