3642574740 has 288 divisors, whose sum is σ = 12705436800. Its totient is φ = 775111680.

The previous prime is 3642574703. The next prime is 3642574781. The reversal of 3642574740 is 474752463.

3642574740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3642574692 and 3642574701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3406926 + ... + 3407994.

It is an arithmetic number, because the mean of its divisors is an integer number (44116100).

Almost surely, 2^3642574740 is an apocalyptic number.

3642574740 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 3642574740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352718400).

3642574740 is an abundant number, since it is smaller than the sum of its proper divisors (9062862060).

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

3642574740 is a wasteful number, since it uses less digits than its factorization.

3642574740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 3642574740 is about 60353.7466939709. The cubic root of 3642574740 is about 1538.6369481907.

The spelling of 3642574740 in words is "three billion, six hundred forty-two million, five hundred seventy-four thousand, seven hundred forty".