351875040 has 96 divisors (see below), whose sum is σ = 1209188736. Its totient is φ = 85301760.

The previous prime is 351875033. The next prime is 351875057. The reversal of 351875040 is 40578153.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 351874992 and 351875010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28042 + ... + 38601.

It is an arithmetic number, because the mean of its divisors is an integer number (12595716).

Almost surely, 2^351875040 is an apocalyptic number.

351875040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351875040 is an abundant number, since it is smaller than the sum of its proper divisors (857313696).

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

351875040 is a wasteful number, since it uses less digits than its factorization.

351875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66672 (or 66664 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 351875040 is about 18758.3325484969. The cubic root of 351875040 is about 705.9861055991.

The spelling of 351875040 in words is "three hundred fifty-one million, eight hundred seventy-five thousand, forty".