3664251000 has 256 divisors, whose sum is σ = 12825820800. Its totient is φ = 967680000.

The previous prime is 3664250981. The next prime is 3664251047. The reversal of 3664251000 is 1524663.

3664251000 is a `hidden beast` number, since 3 + 6 + 642 + 5 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3050400 + ... + 3051600.

Almost surely, 2^3664251000 is an apocalyptic number.

3664251000 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 3664251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412910400).

3664251000 is an abundant number, since it is smaller than the sum of its proper divisors (9161569800).

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

3664251000 is a wasteful number, since it uses less digits than its factorization.

3664251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3664251000 is about 60533.0570845385. The cubic root of 3664251000 is about 1541.6829580293.

Adding to 3664251000 its reverse (1524663), we get a palindrome (3665775663).

The spelling of 3664251000 in words is "three billion, six hundred sixty-four million, two hundred fifty-one thousand".