3479233904640 has 1440 divisors, whose sum is σ = 13942787354496. Its totient is φ = 794988380160.

The previous prime is 3479233904621. The next prime is 3479233904647. The reversal of 3479233904640 is 464093329743.

It is a happy number.

3479233904640 is a `hidden beast` number, since 3 + 4 + 7 + 92 + 3 + 3 + 90 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3479233904640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3479233904647) 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, 21344993199 + ... + 21344993361.

Almost surely, 2^{3479233904640} is an apocalyptic number.

3479233904640 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 3479233904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971393677248).

3479233904640 is an abundant number, since it is smaller than the sum of its proper divisors (10463553449856).

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

3479233904640 is a wasteful number, since it uses less digits than its factorization.

3479233904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 3479233904640 in words is "three trillion, four hundred seventy-nine billion, two hundred thirty-three million, nine hundred four thousand, six hundred forty".