3365982400 has 84 divisors (see below), whose sum is σ = 9035415000. Its totient is φ = 1223987200.

The previous prime is 3365982359. The next prime is 3365982401. The reversal of 3365982400 is 42895633.

It is a super-2 number, since 2×3365982400² = 22659675034219520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3365982401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78025 + ... + 113224.

Almost surely, 2^3365982400 is an apocalyptic number.

It is an amenable number.

3365982400 is an abundant number, since it is smaller than the sum of its proper divisors (5669432600).

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

3365982400 is a wasteful number, since it uses less digits than its factorization.

3365982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191282 (or 191267 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 3365982400 is about 58017.0871381871. The cubic root of 3365982400 is about 1498.6628676648.

The spelling of 3365982400 in words is "three billion, three hundred sixty-five million, nine hundred eighty-two thousand, four hundred".