3683750400 has 1200 divisors, whose sum is σ = 16577019360. Its totient is φ = 796262400.

The previous prime is 3683750387. The next prime is 3683750431. The reversal of 3683750400 is 40573863.

3683750400 = 450³ + 451³ + ... + 485³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 193881591 + ... + 193881609.

Almost surely, 2^3683750400 is an apocalyptic number.

3683750400 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 3683750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288509680).

3683750400 is an abundant number, since it is smaller than the sum of its proper divisors (12893268960).

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

3683750400 is a wasteful number, since it uses less digits than its factorization.

3683750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3683750400 is about 60693.9074372379. The cubic root of 3683750400 is about 1544.4128223987.

The spelling of 3683750400 in words is "three billion, six hundred eighty-three million, seven hundred fifty thousand, four hundred".