3486746640 has 160 divisors (see below), whose sum is σ = 12146722560. Its totient is φ = 820942848.

The previous prime is 3486746621. The next prime is 3486746657. The reversal of 3486746640 is 466476843.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3486746640.

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, 47466 + ... + 96054.

It is an arithmetic number, because the mean of its divisors is an integer number (75917016).

Almost surely, 2^3486746640 is an apocalyptic number.

3486746640 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 3486746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073361280).

3486746640 is an abundant number, since it is smaller than the sum of its proper divisors (8659975920).

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

3486746640 is a wasteful number, since it uses less digits than its factorization.

3486746640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48641 (or 48635 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The square root of 3486746640 is about 59048.6802562089. The cubic root of 3486746640 is about 1516.3756329761.

The spelling of 3486746640 in words is "three billion, four hundred eighty-six million, seven hundred forty-six thousand, six hundred forty".