3642542904 has 512 divisors, whose sum is σ = 12984975360. Its totient is φ = 821145600.

The previous prime is 3642542903. The next prime is 3642542963. The reversal of 3642542904 is 4092452463.

3642542904 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642542903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49897812 + ... + 49897884.

It is an arithmetic number, because the mean of its divisors is an integer number (25361280).

Almost surely, 2^3642542904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642542904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492487680).

3642542904 is an abundant number, since it is smaller than the sum of its proper divisors (9342432456).

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

3642542904 is a wasteful number, since it uses less digits than its factorization.

3642542904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3642542904 is about 60353.4829483767. The cubic root of 3642542904 is about 1538.6324656299.

The spelling of 3642542904 in words is "three billion, six hundred forty-two million, five hundred forty-two thousand, nine hundred four".