352977040 has 80 divisors (see below), whose sum is σ = 907785648. Its totient is φ = 126793728.

The previous prime is 352976957. The next prime is 352977043. The reversal of 352977040 is 40779253.

352977040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41525136 + 311451904 = 6444^2 + 17648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (352977043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33894 + ... + 43066.

Almost surely, 2^352977040 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 352977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453892824).

352977040 is an abundant number, since it is smaller than the sum of its proper divisors (554808608).

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

352977040 is a wasteful number, since it uses less digits than its factorization.

352977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 352977040 is about 18787.6831993729. The cubic root of 352977040 is about 706.7223384802.

The spelling of 352977040 in words is "three hundred fifty-two million, nine hundred seventy-seven thousand, forty".