34014554240 has 64 divisors (see below), whose sum is σ = 83046245760. Its totient is φ = 13316324352.

The previous prime is 34014554239. The next prime is 34014554263. The reversal of 34014554240 is 4245541043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34014554197 and 34014554206.

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, 535322 + ... + 595481.

It is an arithmetic number, because the mean of its divisors is an integer number (1297597590).

Almost surely, 2^34014554240 is an apocalyptic number.

It is an amenable number.

34014554240 is an abundant number, since it is smaller than the sum of its proper divisors (49031691520).

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

34014554240 is a wasteful number, since it uses less digits than its factorization.

34014554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130869 (or 1130857 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 34014554240 in words is "thirty-four billion, fourteen million, five hundred fifty-four thousand, two hundred forty".