3463748640 has 576 divisors, whose sum is σ = 14392909440. Its totient is φ = 747601920.

The previous prime is 3463748627. The next prime is 3463748663. The reversal of 3463748640 is 468473643.

3463748640 is a `hidden beast` number, since 3 + 4 + 637 + 4 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×3463748640² = 23995109282203699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5115982 + ... + 5116658.

It is an arithmetic number, because the mean of its divisors is an integer number (24987690).

Almost surely, 2^3463748640 is an apocalyptic number.

3463748640 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 3463748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196454720).

3463748640 is an abundant number, since it is smaller than the sum of its proper divisors (10929160800).

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

3463748640 is a wasteful number, since it uses less digits than its factorization.

3463748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3463748640 is about 58853.6204493827. The cubic root of 3463748640 is about 1513.0343556465.

The spelling of 3463748640 in words is "three billion, four hundred sixty-three million, seven hundred forty-eight thousand, six hundred forty".