340055913600 has 1152 divisors, whose sum is σ = 1369007377920. Its totient is φ = 79803187200.

The previous prime is 340055913551. The next prime is 340055913671. The reversal of 340055913600 is 6319550043.

340055913600 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 5 + 591 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 963331024 + ... + 963331376.

It is an arithmetic number, because the mean of its divisors is an integer number (1188374460).

Almost surely, 2^340055913600 is an apocalyptic number.

340055913600 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 340055913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684503688960).

340055913600 is an abundant number, since it is smaller than the sum of its proper divisors (1028951464320).

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

340055913600 is a wasteful number, since it uses less digits than its factorization.

340055913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 340055913600 in words is "three hundred forty billion, fifty-five million, nine hundred thirteen thousand, six hundred".