3493969920 has 360 divisors, whose sum is σ = 13862800224. Its totient is φ = 797442048.

The previous prime is 3493969891. The next prime is 3493969937. The reversal of 3493969920 is 299693943.

3493969920 is a `hidden beast` number, since 3 + 493 + 9 + 69 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160622 + ... + 5161298.

Almost surely, 2^3493969920 is an apocalyptic number.

3493969920 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 3493969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931400112).

3493969920 is an abundant number, since it is smaller than the sum of its proper divisors (10368830304).

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

3493969920 is an equidigital number, since it uses as much as digits as its factorization.

3493969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The square root of 3493969920 is about 59109.8123833937. The cubic root of 3493969920 is about 1517.4220383037.

The spelling of 3493969920 in words is "three billion, four hundred ninety-three million, nine hundred sixty-nine thousand, nine hundred twenty".