3941190400 has 108 divisors (see below), whose sum is σ = 11148769072. Its totient is φ = 1351249920.

The previous prime is 3941190397. The next prime is 3941190401. The reversal of 3941190400 is 40911493.

It is not an unprimeable number, because it can be changed into a prime (3941190401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 814 + ... + 88786.

Almost surely, 2^3941190400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3941190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574384536).

3941190400 is an abundant number, since it is smaller than the sum of its proper divisors (7207578672).

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

3941190400 is an equidigital number, since it uses as much as digits as its factorization.

3941190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88006 (or 87987 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 3941190400 is about 62778.9009142403. The cubic root of 3941190400 is about 1579.5830764489.

The spelling of 3941190400 in words is "three billion, nine hundred forty-one million, one hundred ninety thousand, four hundred".