3661150464 has 216 divisors, whose sum is σ = 11255261472. Its totient is φ = 1140572160.

The previous prime is 3661150439. The next prime is 3661150477. The reversal of 3661150464 is 4640511663.

It is a happy number.

3661150464 is a `hidden beast` number, since 36 + 61 + 1 + 504 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8264227 + ... + 8264669.

It is an arithmetic number, because the mean of its divisors is an integer number (52107692).

Almost surely, 2^3661150464 is an apocalyptic number.

3661150464 is a gapful number since it is divisible by the number (34) 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 3661150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627630736).

3661150464 is an abundant number, since it is smaller than the sum of its proper divisors (7594111008).

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

3661150464 is a wasteful number, since it uses less digits than its factorization.

3661150464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3661150464 is about 60507.4413936005. The cubic root of 3661150464 is about 1541.2479994370.

The spelling of 3661150464 in words is "three billion, six hundred sixty-one million, one hundred fifty thousand, four hundred sixty-four".