3642625200 has 120 divisors (see below), whose sum is σ = 11683622736. Its totient is φ = 970112000.

The previous prime is 3642625177. The next prime is 3642625211. The reversal of 3642625200 is 25262463.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1271770 + ... + 1274630.

Almost surely, 2^3642625200 is an apocalyptic number.

3642625200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841811368).

3642625200 is an abundant number, since it is smaller than the sum of its proper divisors (8040997536).

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

3642625200 is a wasteful number, since it uses less digits than its factorization.

3642625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3642625200 is about 60354.1647278794. The cubic root of 3642625200 is about 1538.6440529877.

Adding to 3642625200 its reverse (25262463), we get a palindrome (3667887663).

The spelling of 3642625200 in words is "three billion, six hundred forty-two million, six hundred twenty-five thousand, two hundred".