3492228640 has 96 divisors (see below), whose sum is σ = 8353542960. Its totient is φ = 1379549184.

The previous prime is 3492228637. The next prime is 3492228659. The reversal of 3492228640 is 468222943.

It can be written as a sum of positive squares in 8 ways, for example, as 1032465424 + 2459763216 = 32132^2 + 49596^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3492228593 and 3492228602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6860706 + ... + 6861214.

Almost surely, 2^3492228640 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 3492228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176771480).

3492228640 is an abundant number, since it is smaller than the sum of its proper divisors (4861314320).

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

3492228640 is a wasteful number, since it uses less digits than its factorization.

3492228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 3492228640 is about 59095.0813520042. The cubic root of 3492228640 is about 1517.1699186263.

The spelling of 3492228640 in words is "three billion, four hundred ninety-two million, two hundred twenty-eight thousand, six hundred forty".