3491339040 has 288 divisors, whose sum is σ = 14056713216. Its totient is φ = 772208640.

The previous prime is 3491339017. The next prime is 3491339063. The reversal of 3491339040 is 409331943.

It is an interprime number because it is at equal distance from previous prime (3491339017) and next prime (3491339063).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3491338986 and 3491339004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306894 + ... + 318066.

It is an arithmetic number, because the mean of its divisors is an integer number (48808032).

Almost surely, 2^3491339040 is an apocalyptic number.

3491339040 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 3491339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028356608).

3491339040 is an abundant number, since it is smaller than the sum of its proper divisors (10565374176).

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

3491339040 is a wasteful number, since it uses less digits than its factorization.

3491339040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11232 (or 11221 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3491339040 is about 59087.5540194380. The cubic root of 3491339040 is about 1517.0410812258.

The spelling of 3491339040 in words is "three billion, four hundred ninety-one million, three hundred thirty-nine thousand, forty".