353764040 has 128 divisors (see below), whose sum is σ = 991008000. Its totient is φ = 110896128.

The previous prime is 353764039. The next prime is 353764051. The reversal of 353764040 is 40467353.

It is a junction number, because it is equal to n+sod(n) for n = 353763988 and 353764006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153134 + ... + 155426.

It is an arithmetic number, because the mean of its divisors is an integer number (7742250).

Almost surely, 2^353764040 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 353764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495504000).

353764040 is an abundant number, since it is smaller than the sum of its proper divisors (637243960).

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

353764040 is a wasteful number, since it uses less digits than its factorization.

353764040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 353764040 is about 18808.6161107084. The cubic root of 353764040 is about 707.2471862433.

The spelling of 353764040 in words is "three hundred fifty-three million, seven hundred sixty-four thousand, forty".