357705540 has 72 divisors (see below), whose sum is σ = 1086642648. Its totient is φ = 95247360.

The previous prime is 357705479. The next prime is 357705553. The reversal of 357705540 is 45507753.

357705540 is a `hidden beast` number, since 35 + 7 + 70 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 354719556 = 1728^2 + 18834^2 .

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 = 357705495 and 357705504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190044 + ... + 191916.

It is an arithmetic number, because the mean of its divisors is an integer number (15092259).

Almost surely, 2^357705540 is an apocalyptic number.

357705540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

357705540 is an abundant number, since it is smaller than the sum of its proper divisors (728937108).

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

357705540 is a wasteful number, since it uses less digits than its factorization.

357705540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 357705540 is about 18913.1049804097. The cubic root of 357705540 is about 709.8641147077.

The spelling of 357705540 in words is "three hundred fifty-seven million, seven hundred five thousand, five hundred forty".