34913963520 has 640 divisors, whose sum is σ = 134560673280. Its totient is φ = 8546549760.

The previous prime is 34913963501. The next prime is 34913963531. The reversal of 34913963520 is 2536931943.

34913963520 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 3 + 9 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50526375 + ... + 50527065.

It is an arithmetic number, because the mean of its divisors is an integer number (210251052).

Almost surely, 2^34913963520 is an apocalyptic number.

34913963520 is a gapful number since it is divisible by the number (30) 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 34913963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67280336640).

34913963520 is an abundant number, since it is smaller than the sum of its proper divisors (99646709760).

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

34913963520 is a wasteful number, since it uses less digits than its factorization.

34913963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 34913963520 in words is "thirty-four billion, nine hundred thirteen million, nine hundred sixty-three thousand, five hundred twenty".