3642571920 has 240 divisors, whose sum is σ = 12626191872. Its totient is φ = 867409920.

The previous prime is 3642571903. The next prime is 3642571931. The reversal of 3642571920 is 291752463.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255912 + ... + 1258808.

Almost surely, 2^3642571920 is an apocalyptic number.

3642571920 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 3642571920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313095936).

3642571920 is an abundant number, since it is smaller than the sum of its proper divisors (8983619952).

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

3642571920 is a wasteful number, since it uses less digits than its factorization.

3642571920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2951 counting only the distinct ones).

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

The square root of 3642571920 is about 60353.7233317051. The cubic root of 3642571920 is about 1538.6365511311.

It can be divided in two parts, 36425 and 71920, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 3642571920 in words is "three billion, six hundred forty-two million, five hundred seventy-one thousand, nine hundred twenty".