34691014512 has 480 divisors, whose sum is σ = 125488396800. Its totient is φ = 8866851840.

The previous prime is 34691014499. The next prime is 34691014529. The reversal of 34691014512 is 21541019643.

It is a happy number.

34691014512 is a `hidden beast` number, since 3 + 46 + 91 + 0 + 14 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36401428 + ... + 36402380.

It is an arithmetic number, because the mean of its divisors is an integer number (261434160).

Almost surely, 2^34691014512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34691014512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62744198400).

34691014512 is an abundant number, since it is smaller than the sum of its proper divisors (90797382288).

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

34691014512 is a wasteful number, since it uses less digits than its factorization.

34691014512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 34691014512 in words is "thirty-four billion, six hundred ninety-one million, fourteen thousand, five hundred twelve".