34034643601920 has 1440 divisors, whose sum is σ = 134764061065920. Its totient is φ = 7912618721280.

The previous prime is 34034643601853. The next prime is 34034643601979. The reversal of 34034643601920 is 2910634643043.

34034643601920 is a `hidden beast` number, since 3 + 4 + 0 + 34 + 6 + 4 + 3 + 601 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38544329799 + ... + 38544330681.

It is an arithmetic number, because the mean of its divisors is an integer number (93586153518).

Almost surely, 2^{34034643601920} is an apocalyptic number.

34034643601920 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 34034643601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67382030532960).

34034643601920 is an abundant number, since it is smaller than the sum of its proper divisors (100729417464000).

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

34034643601920 is a wasteful number, since it uses less digits than its factorization.

34034643601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 34034643601920 in words is "thirty-four trillion, thirty-four billion, six hundred forty-three million, six hundred one thousand, nine hundred twenty".