3649766400 has 792 divisors, whose sum is σ = 15627682304. Its totient is φ = 796262400.

The previous prime is 3649766389. The next prime is 3649766423. The reversal of 3649766400 is 46679463.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49996764 + ... + 49996836.

Almost surely, 2^3649766400 is an apocalyptic number.

3649766400 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 3649766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813841152).

3649766400 is an abundant number, since it is smaller than the sum of its proper divisors (11977915904).

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

3649766400 is a wasteful number, since it uses less digits than its factorization.

3649766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3649766400 is about 60413.2965496835. The cubic root of 3649766400 is about 1539.6488770529.

The spelling of 3649766400 in words is "three billion, six hundred forty-nine million, seven hundred sixty-six thousand, four hundred".