3493913280 has 448 divisors, whose sum is σ = 13469331456. Its totient is φ = 755712000.

The previous prime is 3493913231. The next prime is 3493913309. The reversal of 3493913280 is 823193943.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255270 + ... + 4256090.

It is an arithmetic number, because the mean of its divisors is an integer number (30065472).

Almost surely, 2^3493913280 is an apocalyptic number.

3493913280 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 3493913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734665728).

3493913280 is an abundant number, since it is smaller than the sum of its proper divisors (9975418176).

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

3493913280 is a wasteful number, since it uses less digits than its factorization.

3493913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3493913280 is about 59109.3332731811. Note that the first 3 decimals coincide. The cubic root of 3493913280 is about 1517.4138387245.

The spelling of 3493913280 in words is "three billion, four hundred ninety-three million, nine hundred thirteen thousand, two hundred eighty".