3750950400 has 480 divisors, whose sum is σ = 13444282368. Its totient is φ = 919142400.

The previous prime is 3750950389. The next prime is 3750950419. The reversal of 3750950400 is 40590573.

3750950400 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 (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27379132 + ... + 27379268.

Almost surely, 2^3750950400 is an apocalyptic number.

3750950400 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 3750950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722141184).

3750950400 is an abundant number, since it is smaller than the sum of its proper divisors (9693331968).

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

3750950400 is a wasteful number, since it uses less digits than its factorization.

3750950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 3750950400 is about 61245.0030614743. The cubic root of 3750950400 is about 1553.7474913916.

The spelling of 3750950400 in words is "three billion, seven hundred fifty million, nine hundred fifty thousand, four hundred".