3753674400 has 432 divisors, whose sum is σ = 14480635680. Its totient is φ = 841881600.

The previous prime is 3753674389. The next prime is 3753674417. The reversal of 3753674400 is 44763573.

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 71 ways as a sum of consecutive naturals, for example, 6938130 + ... + 6938670.

It is an arithmetic number, because the mean of its divisors is an integer number (33519990).

Almost surely, 2^3753674400 is an apocalyptic number.

3753674400 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 3753674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240317840).

3753674400 is an abundant number, since it is smaller than the sum of its proper divisors (10726961280).

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

3753674400 is a wasteful number, since it uses less digits than its factorization.

3753674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 3753674400 is about 61267.2375744166. The cubic root of 3753674400 is about 1554.1235191162.

The spelling of 3753674400 in words is "three billion, seven hundred fifty-three million, six hundred seventy-four thousand, four hundred".