340739749072800 has 4608 divisors, whose sum is σ = 1626565973114880. Its totient is φ = 67624699392000.

The previous prime is 340739749072799. The next prime is 340739749072897. The reversal of 340739749072800 is 8270947937043.

340739749072800 is a `hidden beast` number, since 3 + 4 + 0 + 73 + 9 + 7 + 490 + 72 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×340739749072800² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 346632501109 + ... + 346632502091.

It is an arithmetic number, because the mean of its divisors is an integer number (352987407360).

Almost surely, 2^{340739749072800} is an apocalyptic number.

340739749072800 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 340739749072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813282986557440).

340739749072800 is an abundant number, since it is smaller than the sum of its proper divisors (1285826224042080).

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

340739749072800 is a wasteful number, since it uses less digits than its factorization.

340739749072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 340739749072800 in words is "three hundred forty trillion, seven hundred thirty-nine billion, seven hundred forty-nine million, seventy-two thousand, eight hundred".