3872577150 has 144 divisors (see below), whose sum is σ = 11794713840. Its totient is φ = 903052800.

The previous prime is 3872577083. The next prime is 3872577193. The reversal of 3872577150 is 517752783.

3872577150 is a `hidden beast` number, since 3 + 8 + 72 + 577 + 1 + 5 + 0 = 666.

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 = 3872577096 and 3872577105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93730 + ... + 128570.

It is an arithmetic number, because the mean of its divisors is an integer number (81907735).

Almost surely, 2^3872577150 is an apocalyptic number.

3872577150 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 3872577150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897356920).

3872577150 is an abundant number, since it is smaller than the sum of its proper divisors (7922136690).

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

3872577150 is a wasteful number, since it uses less digits than its factorization.

3872577150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34891 (or 34883 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 3872577150 is about 62230.0341475079. The cubic root of 3872577150 is about 1570.3628990582.

The spelling of 3872577150 in words is "three billion, eight hundred seventy-two million, five hundred seventy-seven thousand, one hundred fifty".