3735020400 has 120 divisors (see below), whose sum is σ = 12083367984. Its totient is φ = 986112000.

The previous prime is 3735020371. The next prime is 3735020407. The reversal of 3735020400 is 40205373.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735020407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105792 + ... + 136608.

Almost surely, 2^3735020400 is an apocalyptic number.

3735020400 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 3735020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041683992).

3735020400 is an abundant number, since it is smaller than the sum of its proper divisors (8348347584).

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

3735020400 is a wasteful number, since it uses less digits than its factorization.

3735020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30939 (or 30928 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 3735020400 is about 61114.8132615980. The cubic root of 3735020400 is about 1551.5448212577.

Adding to 3735020400 its reverse (40205373), we get a palindrome (3775225773).

The spelling of 3735020400 in words is "three billion, seven hundred thirty-five million, twenty thousand, four hundred".