3502880640 has 640 divisors, whose sum is σ = 14662296000. Its totient is φ = 796594176.

The previous prime is 3502880639. The next prime is 3502880683. The reversal of 3502880640 is 460882053.

3502880640 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 8 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3502880595 and 3502880604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17781022 + ... + 17781218.

Almost surely, 2^3502880640 is an apocalyptic number.

3502880640 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 3502880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331148000).

3502880640 is an abundant number, since it is smaller than the sum of its proper divisors (11159415360).

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

3502880640 is an equidigital number, since it uses as much as digits as its factorization.

3502880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3502880640 is about 59185.1386751776. The cubic root of 3502880640 is about 1518.7109107452.

The spelling of 3502880640 in words is "three billion, five hundred two million, eight hundred eighty thousand, six hundred forty".