3642469200 has 90 divisors (see below), whose sum is σ = 12640392414. Its totient is φ = 971324160.

The previous prime is 3642469199. The next prime is 3642469219. The reversal of 3642469200 is 29642463.

3642469200 is a `hidden beast` number, since 3 + 642 + 4 + 6 + 9 + 2 + 0 + 0 = 666.

3642469200 is digitally balanced in base 2, 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 3 ways, for example, as 673091136 + 2969378064 = 25944^2 + 54492^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 502299 + ... + 509498.

Almost surely, 2^3642469200 is an apocalyptic number.

3642469200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642469200 is an abundant number, since it is smaller than the sum of its proper divisors (8997923214).

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

3642469200 is a wasteful number, since it uses less digits than its factorization.

3642469200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011821 (or 1011807 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3642469200 is about 60352.8723425820. The cubic root of 3642469200 is about 1538.6220878860.

The spelling of 3642469200 in words is "three billion, six hundred forty-two million, four hundred sixty-nine thousand, two hundred".