3625280400 has 120 divisors (see below), whose sum is σ = 13272009664. Its totient is φ = 828633600.

The previous prime is 3625280383. The next prime is 3625280411. The reversal of 3625280400 is 40825263.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207391 + ... + 224190.

Almost surely, 2^3625280400 is an apocalyptic number.

3625280400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3625280400 is an abundant number, since it is smaller than the sum of its proper divisors (9646729264).

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

3625280400 is a wasteful number, since it uses less digits than its factorization.

3625280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431609 (or 431598 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3625280400 is about 60210.3014441881. The cubic root of 3625280400 is about 1536.1980199890.

The spelling of 3625280400 in words is "three billion, six hundred twenty-five million, two hundred eighty thousand, four hundred".