3642759120 has 640 divisors, whose sum is σ = 15479009280. Its totient is φ = 684195840.

The previous prime is 3642759091. The next prime is 3642759209. The reversal of 3642759120 is 219572463.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 127 ways as a sum of consecutive naturals, for example, 14174032 + ... + 14174288.

It is an arithmetic number, because the mean of its divisors is an integer number (24185952).

Almost surely, 2^3642759120 is an apocalyptic number.

3642759120 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 3642759120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739504640).

3642759120 is an abundant number, since it is smaller than the sum of its proper divisors (11836250160).

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

3642759120 is a wasteful number, since it uses less digits than its factorization.

3642759120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 3642759120 is about 60355.2741688744. The cubic root of 3642759120 is about 1538.6629086824.

The spelling of 3642759120 in words is "three billion, six hundred forty-two million, seven hundred fifty-nine thousand, one hundred twenty".