3900400848 has 120 divisors (see below), whose sum is σ = 11840007816. Its totient is φ = 1193779200.

The previous prime is 3900400837. The next prime is 3900400853. The reversal of 3900400848 is 8480040093.

3900400848 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 can be written as a sum of positive squares in 4 ways, for example, as 808151184 + 3092249664 = 28428^2 + 55608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 80938 + ... + 119798.

Almost surely, 2^3900400848 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 3900400848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920003908).

3900400848 is an abundant number, since it is smaller than the sum of its proper divisors (7939606968).

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

3900400848 is a wasteful number, since it uses less digits than its factorization.

3900400848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38933 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3900400848 is about 62453.1892540325. The cubic root of 3900400848 is about 1574.1148429182.

The spelling of 3900400848 in words is "three billion, nine hundred million, four hundred thousand, eight hundred forty-eight".