340734574080 has 800 divisors, whose sum is σ = 1302312030624. Its totient is φ = 84849721344.

The previous prime is 340734574049. The next prime is 340734574099. The reversal of 340734574080 is 80475437043.

340734574080 is a `hidden beast` number, since 3 + 4 + 0 + 73 + 4 + 574 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×340734574080² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 574594264 + ... + 574594856.

Almost surely, 2^340734574080 is an apocalyptic number.

340734574080 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 340734574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651156015312).

340734574080 is an abundant number, since it is smaller than the sum of its proper divisors (961577456544).

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

340734574080 is a wasteful number, since it uses less digits than its factorization.

340734574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 340734574080 in words is "three hundred forty billion, seven hundred thirty-four million, five hundred seventy-four thousand, eighty".