3685940400 has 60 divisors (see below), whose sum is σ = 11807299592. Its totient is φ = 982917120.

The previous prime is 3685940399. The next prime is 3685940413. The reversal of 3685940400 is 40495863.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1534609 + ... + 1537008.

Almost surely, 2^3685940400 is an apocalyptic number.

3685940400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3685940400 is an abundant number, since it is smaller than the sum of its proper divisors (8121359192).

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

3685940400 is a wasteful number, since it uses less digits than its factorization.

3685940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071638 (or 3071627 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3685940400 is about 60711.9461061824. The cubic root of 3685940400 is about 1544.7188143616.

The spelling of 3685940400 in words is "three billion, six hundred eighty-five million, nine hundred forty thousand, four hundred".