3951072 has 96 divisors (see below), whose sum is σ = 12247200. Its totient is φ = 1234944.

The previous prime is 3951071. The next prime is 3951083. The reversal of 3951072 is 2701593.

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

It is a super-2 number, since 2×3951072² = 31221939898368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3951071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14554 + ... + 14822.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

Almost surely, 2^3951072 is an apocalyptic number.

3951072 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 3951072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123600).

3951072 is an abundant number, since it is smaller than the sum of its proper divisors (8296128).

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

3951072 is a wasteful number, since it uses less digits than its factorization.

3951072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3951072 is about 1987.7303640082. The cubic root of 3951072 is about 158.0902117953.

The spelling of 3951072 in words is "three million, nine hundred fifty-one thousand, seventy-two".