34988930640 has 320 divisors, whose sum is σ = 122758571520. Its totient is φ = 9158123520.

The previous prime is 34988930479. The next prime is 34988930653. The reversal of 34988930640 is 4603988943.

It is a happy number.

34988930640 is a `hidden beast` number, since 3 + 498 + 8 + 93 + 0 + 64 + 0 = 666.

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

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, 51681982 + ... + 51682658.

It is an arithmetic number, because the mean of its divisors is an integer number (383620536).

Almost surely, 2^34988930640 is an apocalyptic number.

34988930640 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 34988930640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61379285760).

34988930640 is an abundant number, since it is smaller than the sum of its proper divisors (87769640880).

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

34988930640 is a wasteful number, since it uses less digits than its factorization.

34988930640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 34988930640 in words is "thirty-four billion, nine hundred eighty-eight million, nine hundred thirty thousand, six hundred forty".