3493201140 has 480 divisors, whose sum is σ = 13646755584. Its totient is φ = 734883840.

The previous prime is 3493201133. The next prime is 3493201171. The reversal of 3493201140 is 411023943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3937777 + ... + 3938663.

Almost surely, 2^3493201140 is an apocalyptic number.

3493201140 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 3493201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823377792).

3493201140 is an abundant number, since it is smaller than the sum of its proper divisors (10153554444).

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

3493201140 is a wasteful number, since it uses less digits than its factorization.

3493201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3493201140 is about 59103.3090444181. The cubic root of 3493201140 is about 1517.3107370893.

The spelling of 3493201140 in words is "three billion, four hundred ninety-three million, two hundred one thousand, one hundred forty".