3799248240 has 160 divisors (see below), whose sum is σ = 12218414400. Its totient is φ = 975421440.

The previous prime is 3799248221. The next prime is 3799248253. The reversal of 3799248240 is 428429973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3799248240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3764856 + ... + 3765864.

It is an arithmetic number, because the mean of its divisors is an integer number (76365090).

Almost surely, 2^3799248240 is an apocalyptic number.

3799248240 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 3799248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109207200).

3799248240 is an abundant number, since it is smaller than the sum of its proper divisors (8419166160).

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

3799248240 is a wasteful number, since it uses less digits than its factorization.

3799248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3799248240 is about 61638.0421493091. The cubic root of 3799248240 is about 1560.3878391382.

The spelling of 3799248240 in words is "three billion, seven hundred ninety-nine million, two hundred forty-eight thousand, two hundred forty".