34016971872 has 48 divisors (see below), whose sum is σ = 96163366320. Its totient is φ = 10466760192.

The previous prime is 34016971861. The next prime is 34016971883. The reversal of 34016971872 is 27817961043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34016971861) and next prime (34016971883).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 13627347 + ... + 13629842.

It is an arithmetic number, because the mean of its divisors is an integer number (2003403465).

Almost surely, 2^34016971872 is an apocalyptic number.

34016971872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34016971872 is an abundant number, since it is smaller than the sum of its proper divisors (62146394448).

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

34016971872 is a wasteful number, since it uses less digits than its factorization.

34016971872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27257215 (or 27257207 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 34016971872 in words is "thirty-four billion, sixteen million, nine hundred seventy-one thousand, eight hundred seventy-two".