3502672640 has 144 divisors (see below), whose sum is σ = 8875996416. Its totient is φ = 1322188800.

The previous prime is 3502672637. The next prime is 3502672687. The reversal of 3502672640 is 462762053.

It is a self number, because there is not a number n which added to its sum of digits gives 3502672640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625804 + ... + 1627956.

It is an arithmetic number, because the mean of its divisors is an integer number (61638864).

Almost surely, 2^3502672640 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 3502672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437998208).

3502672640 is an abundant number, since it is smaller than the sum of its proper divisors (5373323776).

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

3502672640 is a wasteful number, since it uses less digits than its factorization.

3502672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3502672640 is about 59183.3814512148. The cubic root of 3502672640 is about 1518.6808499510.

The spelling of 3502672640 in words is "three billion, five hundred two million, six hundred seventy-two thousand, six hundred forty".