3896413440 has 288 divisors, whose sum is σ = 13114434816. Its totient is φ = 984023040.

The previous prime is 3896413421. The next prime is 3896413483. The reversal of 3896413440 is 443146983.

It is a junction number, because it is equal to n+sod(n) for n = 3896413392 and 3896413401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13866100 + ... + 13866380.

It is an arithmetic number, because the mean of its divisors is an integer number (45536232).

Almost surely, 2^3896413440 is an apocalyptic number.

3896413440 is a gapful number since it is divisible by the number (30) 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 3896413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557217408).

3896413440 is an abundant number, since it is smaller than the sum of its proper divisors (9218021376).

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

3896413440 is a wasteful number, since it uses less digits than its factorization.

3896413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3896413440 is about 62421.2579174755. The cubic root of 3896413440 is about 1573.5782503591.

The spelling of 3896413440 in words is "three billion, eight hundred ninety-six million, four hundred thirteen thousand, four hundred forty".