3732674400 has 864 divisors, whose sum is σ = 16879419648. Its totient is φ = 783820800.

The previous prime is 3732674389. The next prime is 3732674417. The reversal of 3732674400 is 44762373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17690295 + ... + 17690505.

Almost surely, 2^3732674400 is an apocalyptic number.

3732674400 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 3732674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439709824).

3732674400 is an abundant number, since it is smaller than the sum of its proper divisors (13146745248).

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

3732674400 is a wasteful number, since it uses less digits than its factorization.

3732674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3732674400 is about 61095.6168640599. The cubic root of 3732674400 is about 1551.2199067891.

The spelling of 3732674400 in words is "three billion, seven hundred thirty-two million, six hundred seventy-four thousand, four hundred".