34913693952 has 288 divisors, whose sum is σ = 107499356160. Its totient is φ = 11165091840.

The previous prime is 34913693929. The next prime is 34913693977. The reversal of 34913693952 is 25939631943.

34913693952 is a `hidden beast` number, since 3 + 491 + 3 + 69 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27211903 + ... + 27213185.

Almost surely, 2^34913693952 is an apocalyptic number.

34913693952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34913693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53749678080).

34913693952 is an abundant number, since it is smaller than the sum of its proper divisors (72585662208).

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

34913693952 is a wasteful number, since it uses less digits than its factorization.

34913693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1446 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The spelling of 34913693952 in words is "thirty-four billion, nine hundred thirteen million, six hundred ninety-three thousand, nine hundred fifty-two".