3765434400 has 648 divisors, whose sum is σ = 16654066884. Its totient is φ = 793497600.

The previous prime is 3765434353. The next prime is 3765434401. The reversal of 3765434400 is 44345673.

It is a happy number.

3765434400 is a `hidden beast` number, since 3 + 76 + 543 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 396328464 + 3369105936 = 19908^2 + 58044^2 .

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 (3765434401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4585990 + ... + 4586810.

Almost surely, 2^3765434400 is an apocalyptic number.

3765434400 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 3765434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327033442).

3765434400 is an abundant number, since it is smaller than the sum of its proper divisors (12888632484).

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

3765434400 is a wasteful number, since it uses less digits than its factorization.

3765434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3765434400 is about 61363.1355131075. The cubic root of 3765434400 is about 1555.7448140098.

The spelling of 3765434400 in words is "three billion, seven hundred sixty-five million, four hundred thirty-four thousand, four hundred".