340752513312 has 240 divisors, whose sum is σ = 1029144517632. Its totient is φ = 110557923840.

The previous prime is 340752513263. The next prime is 340752513359. The reversal of 340752513312 is 213315257043.

340752513312 is a `hidden beast` number, since 3 + 4 + 0 + 75 + 251 + 331 + 2 = 666.

It is a super-2 number, since 2×340752513312² (a number of 24 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 17436987 + ... + 17456517.

Almost surely, 2^340752513312 is an apocalyptic number.

340752513312 is a gapful number since it is divisible by the number (32) 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 340752513312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514572258816).

340752513312 is an abundant number, since it is smaller than the sum of its proper divisors (688392004320).

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

340752513312 is a wasteful number, since it uses less digits than its factorization.

340752513312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19733 (or 19716 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 340752513312 in words is "three hundred forty billion, seven hundred fifty-two million, five hundred thirteen thousand, three hundred twelve".