3949407280260 has 288 divisors, whose sum is σ = 13413385440000. Its totient is φ = 933918999552.

The previous prime is 3949407280243. The next prime is 3949407280277. The reversal of 3949407280260 is 620827049493.

3949407280260 is a `hidden beast` number, since 3 + 9 + 494 + 0 + 72 + 80 + 2 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3949407280243) and next prime (3949407280277).

It is a junction number, because it is equal to n+sod(n) for n = 3949407280197 and 3949407280206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13357911 + ... + 13650369.

It is an arithmetic number, because the mean of its divisors is an integer number (46574255000).

Almost surely, 2^{3949407280260} is an apocalyptic number.

3949407280260 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 3949407280260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706692720000).

3949407280260 is an abundant number, since it is smaller than the sum of its proper divisors (9463978159740).

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

3949407280260 is a wasteful number, since it uses less digits than its factorization.

3949407280260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292715 (or 292710 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3949407280260 in words is "three trillion, nine hundred forty-nine billion, four hundred seven million, two hundred eighty thousand, two hundred sixty".