3900096 has 112 divisors (see below), whose sum is σ = 11968480. Its totient is φ = 1244160.

The previous prime is 3900067. The next prime is 3900097. The reversal of 3900096 is 6900093.

3900096 is nontrivially palindromic in base 11.

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 (3900097) 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, 63906 + ... + 63966.

Almost surely, 2^3900096 is an apocalyptic number.

3900096 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 3900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984240).

3900096 is an abundant number, since it is smaller than the sum of its proper divisors (8068384).

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

3900096 is a wasteful number, since it uses less digits than its factorization.

3900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3900096 is about 1974.8660714084. The cubic root of 3900096 is about 157.4073831897.

The spelling of 3900096 in words is "three million, nine hundred thousand, ninety-six".