3644590950 has 960 divisors, whose sum is σ = 14519070720. Its totient is φ = 653184000.

The previous prime is 3644590949. The next prime is 3644590969. The reversal of 3644590950 is 590954463.

3644590950 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 590 + 9 + 50 = 666.

3644590950 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3644590896 and 3644590905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 117567435 + ... + 117567465.

It is an arithmetic number, because the mean of its divisors is an integer number (15124032).

Almost surely, 2^3644590950 is an apocalyptic number.

3644590950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644590950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259535360).

3644590950 is an abundant number, since it is smaller than the sum of its proper divisors (10874479770).

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

3644590950 is a wasteful number, since it uses less digits than its factorization.

3644590950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3644590950 is about 60370.4476544609. The cubic root of 3644590950 is about 1538.9207806652.

The spelling of 3644590950 in words is "three billion, six hundred forty-four million, five hundred ninety thousand, nine hundred fifty".