3948212736 has 240 divisors, whose sum is σ = 12996527544. Its totient is φ = 1143078912.

The previous prime is 3948212707. The next prime is 3948212759. The reversal of 3948212736 is 6372128493.

It can be written as a sum of positive squares in 4 ways, for example, as 2803067136 + 1145145600 = 52944^2 + 33840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3948212691 and 3948212700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016430 + ... + 1020306.

Almost surely, 2^3948212736 is an apocalyptic number.

3948212736 is a gapful number since it is divisible by the number (36) 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 3948212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498263772).

3948212736 is an abundant number, since it is smaller than the sum of its proper divisors (9048314808).

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

3948212736 is a wasteful number, since it uses less digits than its factorization.

3948212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3912 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3948212736 is about 62834.8051321877. The cubic root of 3948212736 is about 1580.5206765510.

The spelling of 3948212736 in words is "three billion, nine hundred forty-eight million, two hundred twelve thousand, seven hundred thirty-six".