3750397200 has 600 divisors, whose sum is σ = 15572351520. Its totient is φ = 854323200.

The previous prime is 3750397151. The next prime is 3750397201. The reversal of 3750397200 is 27930573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3750397201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6058491 + ... + 6059109.

Almost surely, 2^3750397200 is an apocalyptic number.

3750397200 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 3750397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786175760).

3750397200 is an abundant number, since it is smaller than the sum of its proper divisors (11821954320).

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

3750397200 is a wasteful number, since it uses less digits than its factorization.

3750397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 3750397200 is about 61240.4866081255. The cubic root of 3750397200 is about 1553.6711040515.

The spelling of 3750397200 in words is "three billion, seven hundred fifty million, three hundred ninety-seven thousand, two hundred".