3493119840 has 144 divisors (see below), whose sum is σ = 12799875312. Its totient is φ = 798422016.

The previous prime is 3493119821. The next prime is 3493119869. The reversal of 3493119840 is 489113943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3493119792 and 3493119801.

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 23 ways as a sum of consecutive naturals, for example, 50739 + ... + 97778.

It is an arithmetic number, because the mean of its divisors is an integer number (88888023).

Almost surely, 2^3493119840 is an apocalyptic number.

3493119840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3493119840 is an abundant number, since it is smaller than the sum of its proper divisors (9306755472).

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

3493119840 is a wasteful number, since it uses less digits than its factorization.

3493119840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148549 (or 148534 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 3493119840 is about 59102.6212616666. The cubic root of 3493119840 is about 1517.2989658118.

The spelling of 3493119840 in words is "three billion, four hundred ninety-three million, one hundred nineteen thousand, eight hundred forty".