3681014400 has 864 divisors, whose sum is σ = 16327303200. Its totient is φ = 771379200.

The previous prime is 3681014357. The next prime is 3681014411. The reversal of 3681014400 is 44101863.

3681014400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 118742385 + ... + 118742415.

Almost surely, 2^3681014400 is an apocalyptic number.

3681014400 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 3681014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163651600).

3681014400 is an abundant number, since it is smaller than the sum of its proper divisors (12646288800).

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

3681014400 is a wasteful number, since it uses less digits than its factorization.

3681014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3681014400 is about 60671.3639207163. The cubic root of 3681014400 is about 1544.0303715826.

The spelling of 3681014400 in words is "three billion, six hundred eighty-one million, fourteen thousand, four hundred".