357349079052 has 288 divisors, whose sum is σ = 1092123648000. Its totient is φ = 100744269696.

The previous prime is 357349079051. The next prime is 357349079069. The reversal of 357349079052 is 250970943753.

357349079052 is a `hidden beast` number, since 35 + 7 + 3 + 490 + 79 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 357349079052.

It is not an unprimeable number, because it can be changed into a prime (357349079051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132399199 + ... + 132401897.

It is an arithmetic number, because the mean of its divisors is an integer number (3792096000).

Almost surely, 2^357349079052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357349079052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546061824000).

357349079052 is an abundant number, since it is smaller than the sum of its proper divisors (734774568948).

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

357349079052 is a wasteful number, since it uses less digits than its factorization.

357349079052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 357349079052 in words is "three hundred fifty-seven billion, three hundred forty-nine million, seventy-nine thousand, fifty-two".