34918324052976 has 1920 divisors, whose sum is σ = 134590496768000. Its totient is φ = 8365092341760.

The previous prime is 34918324052947. The next prime is 34918324052987. The reversal of 34918324052976 is 67925042381943.

34918324052976 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 8 + 32 + 4 + 0 + 529 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48030706725 + ... + 48030707451.

It is a 1-persistent number, because it is pandigital, but 2⋅34918324052976 = 69836648105952 is not.

Almost surely, 2^{34918324052976} is an apocalyptic number.

34918324052976 is a gapful number since it is divisible by the number (36) 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 34918324052976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67295248384000).

34918324052976 is an abundant number, since it is smaller than the sum of its proper divisors (99672172715024).

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

34918324052976 is a wasteful number, since it uses less digits than its factorization.

34918324052976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 34918324052976 in words is "thirty-four trillion, nine hundred eighteen billion, three hundred twenty-four million, fifty-two thousand, nine hundred seventy-six".