3736401984 has 504 divisors, whose sum is σ = 13768230528. Its totient is φ = 945561600.

The previous prime is 3736401971. The next prime is 3736402009. The reversal of 3736401984 is 4891046373.

3736401984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24744309 + ... + 24744459.

Almost surely, 2^3736401984 is an apocalyptic number.

3736401984 is a gapful number since it is divisible by the number (34) 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 3736401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884115264).

3736401984 is an abundant number, since it is smaller than the sum of its proper divisors (10031828544).

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

3736401984 is a wasteful number, since it uses less digits than its factorization.

3736401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3736401984 is about 61126.1154008661. The cubic root of 3736401984 is about 1551.7361031447.

The spelling of 3736401984 in words is "three billion, seven hundred thirty-six million, four hundred one thousand, nine hundred eighty-four".