3646355416 has 128 divisors (see below), whose sum is σ = 7978176000. Its totient is φ = 1546209280.

The previous prime is 3646355371. The next prime is 3646355423. The reversal of 3646355416 is 6145536463.

Its product of digits (777600) is a multiple of the sum of its prime divisors (405).

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, 24472110 + ... + 24472258.

It is an arithmetic number, because the mean of its divisors is an integer number (62329500).

Almost surely, 2^3646355416 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 3646355416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989088000).

3646355416 is an abundant number, since it is smaller than the sum of its proper divisors (4331820584).

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

3646355416 is a wasteful number, since it uses less digits than its factorization.

3646355416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its digits is 777600, while the sum is 43.

The square root of 3646355416 is about 60385.0595429035. The cubic root of 3646355416 is about 1539.1690879374.

The spelling of 3646355416 in words is "three billion, six hundred forty-six million, three hundred fifty-five thousand, four hundred sixteen".