3640652400 has 720 divisors, whose sum is σ = 15390514944. Its totient is φ = 714240000.

The previous prime is 3640652399. The next prime is 3640652401. The reversal of 3640652400 is 42560463.

It is an interprime number because it is at equal distance from previous prime (3640652399) and next prime (3640652401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640652401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88796380 + ... + 88796420.

Almost surely, 2^3640652400 is an apocalyptic number.

3640652400 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 3640652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695257472).

3640652400 is an abundant number, since it is smaller than the sum of its proper divisors (11749862544).

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

3640652400 is a wasteful number, since it uses less digits than its factorization.

3640652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3640652400 is about 60337.8189861052. The cubic root of 3640652400 is about 1538.3662327371.

The spelling of 3640652400 in words is "three billion, six hundred forty million, six hundred fifty-two thousand, four hundred".