3735950400 has 504 divisors, whose sum is σ = 16348439744. Its totient is φ = 787968000.

The previous prime is 3735950363. The next prime is 3735950401. The reversal of 3735950400 is 40595373.

It is a tau number, because it is divible by the number of its divisors (504).

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 (3735950401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1308975 + ... + 1311825.

Almost surely, 2^3735950400 is an apocalyptic number.

3735950400 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 3735950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174219872).

3735950400 is an abundant number, since it is smaller than the sum of its proper divisors (12612489344).

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

3735950400 is a wasteful number, since it uses less digits than its factorization.

3735950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3735950400 is about 61122.4214180034. The cubic root of 3735950400 is about 1551.6735860109.

The spelling of 3735950400 in words is "three billion, seven hundred thirty-five million, nine hundred fifty thousand, four hundred".