3949138272 has 96 divisors (see below), whose sum is σ = 10835016192. Its totient is φ = 1257073664.

The previous prime is 3949138261. The next prime is 3949138283. The reversal of 3949138272 is 2728319493.

It is an interprime number because it is at equal distance from previous prime (3949138261) and next prime (3949138283).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1891213 + ... + 1893299.

It is an arithmetic number, because the mean of its divisors is an integer number (112864752).

Almost surely, 2^3949138272 is an apocalyptic number.

3949138272 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 3949138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417508096).

3949138272 is an abundant number, since it is smaller than the sum of its proper divisors (6885877920).

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

3949138272 is a wasteful number, since it uses less digits than its factorization.

3949138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2972 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 3949138272 is about 62842.1695360687. The cubic root of 3949138272 is about 1580.6441682498.

The spelling of 3949138272 in words is "three billion, nine hundred forty-nine million, one hundred thirty-eight thousand, two hundred seventy-two".