340390372032 has 392 divisors, whose sum is σ = 1033979818752. Its totient is φ = 111106598400.

The previous prime is 340390371953. The next prime is 340390372043. The reversal of 340390372032 is 230273093043.

It is a happy number.

340390372032 is a `hidden beast` number, since 34 + 0 + 390 + 37 + 203 + 2 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 698953293 + ... + 698953779.

Almost surely, 2^340390372032 is an apocalyptic number.

340390372032 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 340390372032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516989909376).

340390372032 is an abundant number, since it is smaller than the sum of its proper divisors (693589446720).

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

340390372032 is an equidigital number, since it uses as much as digits as its factorization.

340390372032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 340390372032 in words is "three hundred forty billion, three hundred ninety million, three hundred seventy-two thousand, thirty-two".