3479973840 has 480 divisors, whose sum is σ = 14039101440. Its totient is φ = 784691712.

The previous prime is 3479973829. The next prime is 3479973841. The reversal of 3479973840 is 483799743.

3479973840 is a `hidden beast` number, since 3 + 479 + 97 + 3 + 84 + 0 = 666.

It is a super-2 number, since 2×3479973840² = 24220435854168691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3479973841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14560441 + ... + 14560679.

It is an arithmetic number, because the mean of its divisors is an integer number (29248128).

Almost surely, 2^3479973840 is an apocalyptic number.

3479973840 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 3479973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019550720).

3479973840 is an abundant number, since it is smaller than the sum of its proper divisors (10559127600).

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

3479973840 is a wasteful number, since it uses less digits than its factorization.

3479973840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3479973840 is about 58991.3030878281. The cubic root of 3479973840 is about 1515.3931731239.

The spelling of 3479973840 in words is "three billion, four hundred seventy-nine million, nine hundred seventy-three thousand, eight hundred forty".