3413000448 has 360 divisors, whose sum is σ = 11966524416. Its totient is φ = 953856000.

The previous prime is 3413000443. The next prime is 3413000449. The reversal of 3413000448 is 8440003143.

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

It is not an unprimeable number, because it can be changed into a prime (3413000443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2964673 + ... + 2965823.

Almost surely, 2^3413000448 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 3413000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983262208).

3413000448 is an abundant number, since it is smaller than the sum of its proper divisors (8553523968).

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

3413000448 is a wasteful number, since it uses less digits than its factorization.

3413000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3413000448 is about 58420.8905101591. The cubic root of 3413000448 is about 1505.6086981977.

The spelling of 3413000448 in words is "three billion, four hundred thirteen million, four hundred forty-eight", and thus it is an aban number.