3646834464 has 384 divisors, whose sum is σ = 12572098560. Its totient is φ = 898781184.

The previous prime is 3646834459. The next prime is 3646834469. The reversal of 3646834464 is 4644386463.

It is an interprime number because it is at equal distance from previous prime (3646834459) and next prime (3646834469).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3646834469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21079882 + ... + 21080054.

It is an arithmetic number, because the mean of its divisors is an integer number (32739840).

Almost surely, 2^3646834464 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 3646834464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286049280).

3646834464 is an abundant number, since it is smaller than the sum of its proper divisors (8925264096).

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

3646834464 is a wasteful number, since it uses less digits than its factorization.

3646834464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 48.

The square root of 3646834464 is about 60389.0260229456. The cubic root of 3646834464 is about 1539.2364888992.

The spelling of 3646834464 in words is "three billion, six hundred forty-six million, eight hundred thirty-four thousand, four hundred sixty-four".