3799361280 has 864 divisors, whose sum is σ = 15619528512. Its totient is φ = 778567680.

The previous prime is 3799361273. The next prime is 3799361287. The reversal of 3799361280 is 821639973.

It is an interprime number because it is at equal distance from previous prime (3799361273) and next prime (3799361287).

It is a super-2 number, since 2×3799361280² = 28870292271926476800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3799361287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102685422 + ... + 102685458.

It is an arithmetic number, because the mean of its divisors is an integer number (18078158).

Almost surely, 2^3799361280 is an apocalyptic number.

3799361280 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 3799361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809764256).

3799361280 is an abundant number, since it is smaller than the sum of its proper divisors (11820167232).

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

3799361280 is a wasteful number, since it uses less digits than its factorization.

3799361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 3799361280 is about 61638.9591086676. The cubic root of 3799361280 is about 1560.4033145235.

The spelling of 3799361280 in words is "three billion, seven hundred ninety-nine million, three hundred sixty-one thousand, two hundred eighty".