3672554240 has 72 divisors (see below), whose sum is σ = 8875113408. Its totient is φ = 1455964160.

The previous prime is 3672554239. The next prime is 3672554243. The reversal of 3672554240 is 424552763.

3672554240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3672554194 and 3672554203.

It is not an unprimeable number, because it can be changed into a prime (3672554243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131945 + ... + 157335.

It is an arithmetic number, because the mean of its divisors is an integer number (123265464).

Almost surely, 2^3672554240 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 3672554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437556704).

3672554240 is an abundant number, since it is smaller than the sum of its proper divisors (5202559168).

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

3672554240 is a wasteful number, since it uses less digits than its factorization.

3672554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25525 (or 25511 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The square root of 3672554240 is about 60601.6026190727. The cubic root of 3672554240 is about 1542.8465707029.

The spelling of 3672554240 in words is "three billion, six hundred seventy-two million, five hundred fifty-four thousand, two hundred forty".