3871630762272 has 3072 divisors, whose sum is σ = 16223209390080. Its totient is φ = 869518540800.

The previous prime is 3871630762211. The next prime is 3871630762367. The reversal of 3871630762272 is 2722670361783.

3871630762272 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 6 + 3 + 0 + 7 + 622 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 73049636998 + ... + 73049637050.

It is an arithmetic number, because the mean of its divisors is an integer number (5280992640).

Almost surely, 2^{3871630762272} is an apocalyptic number.

3871630762272 is a gapful number since it is divisible by the number (32) 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 3871630762272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111604695040).

3871630762272 is an abundant number, since it is smaller than the sum of its proper divisors (12351578627808).

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

3871630762272 is a wasteful number, since it uses less digits than its factorization.

3871630762272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 3871630762272 in words is "three trillion, eight hundred seventy-one billion, six hundred thirty million, seven hundred sixty-two thousand, two hundred seventy-two".