3948837120 has 216 divisors, whose sum is σ = 13838697600. Its totient is φ = 1039454208.

The previous prime is 3948837091. The next prime is 3948837131. The reversal of 3948837120 is 217388493.

3948837120 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 hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 907911 + ... + 912249.

Almost surely, 2^3948837120 is an apocalyptic number.

3948837120 is a gapful number since it is divisible by the number (30) 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 3948837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919348800).

3948837120 is an abundant number, since it is smaller than the sum of its proper divisors (9889860480).

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

3948837120 is a wasteful number, since it uses less digits than its factorization.

3948837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3948837120 is about 62839.7733923349. The cubic root of 3948837120 is about 1580.6039884925.

The spelling of 3948837120 in words is "three billion, nine hundred forty-eight million, eight hundred thirty-seven thousand, one hundred twenty".