34002521145 has 64 divisors (see below), whose sum is σ = 61247888640. Its totient is φ = 17896564224.

The previous prime is 34002521143. The next prime is 34002521209. The reversal of 34002521145 is 54112520043.

34002521145 is a `hidden beast` number, since 3 + 400 + 2 + 5 + 211 + 45 = 666.

It is not a de Polignac number, because 34002521145 - 2¹ = 34002521143 is a prime.

It is a super-2 number, since 2×34002521145² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34002521143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3194322 + ... + 3204948.

It is an arithmetic number, because the mean of its divisors is an integer number (956998260).

Almost surely, 2^34002521145 is an apocalyptic number.

It is an amenable number.

34002521145 is a deficient number, since it is larger than the sum of its proper divisors (27245367495).

34002521145 is a wasteful number, since it uses less digits than its factorization.

34002521145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10951 (or 10945 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34002521145 in words is "thirty-four billion, two million, five hundred twenty-one thousand, one hundred forty-five".