3493329840 has 960 divisors, whose sum is σ = 16300956672. Its totient is φ = 646963200.

The previous prime is 3493329793. The next prime is 3493329857. The reversal of 3493329840 is 489233943.

3493329840 is a `hidden beast` number, since 3 + 493 + 32 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26666575 + ... + 26666705.

Almost surely, 2^3493329840 is an apocalyptic number.

3493329840 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 3493329840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150478336).

3493329840 is an abundant number, since it is smaller than the sum of its proper divisors (12807626832).

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

3493329840 is a wasteful number, since it uses less digits than its factorization.

3493329840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3493329840 is about 59104.3978059163. The cubic root of 3493329840 is about 1517.3293709523.

It can be divided in two parts, 3493 and 329840, that added together give a palindrome (333333).

The spelling of 3493329840 in words is "three billion, four hundred ninety-three million, three hundred twenty-nine thousand, eight hundred forty".