3456653640 has 128 divisors (see below), whose sum is σ = 11526364800. Its totient is φ = 822149120.

The previous prime is 3456653617. The next prime is 3456653653. The reversal of 3456653640 is 463566543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3456653592 and 3456653601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45256 + ... + 94664.

It is an arithmetic number, because the mean of its divisors is an integer number (90049725).

Almost surely, 2^3456653640 is an apocalyptic number.

3456653640 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 3456653640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763182400).

3456653640 is an abundant number, since it is smaller than the sum of its proper divisors (8069711160).

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

3456653640 is a wasteful number, since it uses less digits than its factorization.

3456653640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49487 (or 49483 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The square root of 3456653640 is about 58793.3128850552. The cubic root of 3456653640 is about 1512.0005703926. Note that the first 3 decimals are identical.

The spelling of 3456653640 in words is "three billion, four hundred fifty-six million, six hundred fifty-three thousand, six hundred forty".