34694468640 has 384 divisors, whose sum is σ = 131194183680. Its totient is φ = 8512598016.

The previous prime is 34694468629. The next prime is 34694468651. The reversal of 34694468640 is 4686449643.

It is a happy number.

34694468640 is a `hidden beast` number, since 34 + 6 + 94 + 468 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34694468629) and next prime (34694468651).

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 63 ways as a sum of consecutive naturals, for example, 21508474 + ... + 21510086.

It is an arithmetic number, because the mean of its divisors is an integer number (341651520).

Almost surely, 2^34694468640 is an apocalyptic number.

34694468640 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 34694468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65597091840).

34694468640 is an abundant number, since it is smaller than the sum of its proper divisors (96499715040).

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

34694468640 is a wasteful number, since it uses less digits than its factorization.

34694468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 34694468640 in words is "thirty-four billion, six hundred ninety-four million, four hundred sixty-eight thousand, six hundred forty".