3464683640 has 128 divisors (see below), whose sum is σ = 9032601600. Its totient is φ = 1182074880.

The previous prime is 3464683633. The next prime is 3464683661. The reversal of 3464683640 is 463864643.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3464683591 and 3464683600.

It is a congruent number.

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, 3582437 + ... + 3583403.

It is an arithmetic number, because the mean of its divisors is an integer number (70567200).

Almost surely, 2^3464683640 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 3464683640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516300800).

3464683640 is an abundant number, since it is smaller than the sum of its proper divisors (5567917960).

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

3464683640 is a wasteful number, since it uses less digits than its factorization.

3464683640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The square root of 3464683640 is about 58861.5633499485. The cubic root of 3464683640 is about 1513.1704856023.

The spelling of 3464683640 in words is "three billion, four hundred sixty-four million, six hundred eighty-three thousand, six hundred forty".