3491258880 has 160 divisors (see below), whose sum is σ = 11297651904. Its totient is φ = 919617536.

The previous prime is 3491258857. The next prime is 3491258887. The reversal of 3491258880 is 888521943.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (3491258887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634702 + ... + 640178.

Almost surely, 2^3491258880 is an apocalyptic number.

3491258880 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 3491258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648825952).

3491258880 is an abundant number, since it is smaller than the sum of its proper divisors (7806393024).

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

3491258880 is an equidigital number, since it uses as much as digits as its factorization.

3491258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 3491258880 is about 59086.8757001079. The cubic root of 3491258880 is about 1517.0294708816.

The spelling of 3491258880 in words is "three billion, four hundred ninety-one million, two hundred fifty-eight thousand, eight hundred eighty".