351575640 has 320 divisors, whose sum is σ = 1350185760. Its totient is φ = 81285120.

The previous prime is 351575629. The next prime is 351575641. The reversal of 351575640 is 46575153.

351575640 is a `hidden beast` number, since 3 + 5 + 1 + 5 + 7 + 5 + 640 = 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 a junction number, because it is equal to n+sod(n) for n = 351575595 and 351575604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351575641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 715795 + ... + 716285.

Almost surely, 2^351575640 is an apocalyptic number.

351575640 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 351575640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675092880).

351575640 is an abundant number, since it is smaller than the sum of its proper divisors (998610120).

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

351575640 is a wasteful number, since it uses less digits than its factorization.

351575640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 351575640 is about 18750.3503967259. The cubic root of 351575640 is about 705.7858145919.

351575640 divided by its sum of digits (36) gives a triangular number (9765990 = T₄₄₁₉).

The spelling of 351575640 in words is "three hundred fifty-one million, five hundred seventy-five thousand, six hundred forty".