3642551640 has 384 divisors, whose sum is σ = 15031180800. Its totient is φ = 768268800.

The previous prime is 3642551611. The next prime is 3642551651. The reversal of 3642551640 is 461552463.

3642551640 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 5 + 5 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3642551595 and 3642551604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1276215 + ... + 1279065.

It is an arithmetic number, because the mean of its divisors is an integer number (39143700).

Almost surely, 2^3642551640 is an apocalyptic number.

3642551640 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 3642551640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515590400).

3642551640 is an abundant number, since it is smaller than the sum of its proper divisors (11388629160).

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

3642551640 is a wasteful number, since it uses less digits than its factorization.

3642551640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3642551640 is about 60353.5553219527. Note that the first 3 decimals coincide. The cubic root of 3642551640 is about 1538.6336956755.

The spelling of 3642551640 in words is "three billion, six hundred forty-two million, five hundred fifty-one thousand, six hundred forty".