3439924899840 has 2080 divisors, whose sum is σ = 15357241158336. Its totient is φ = 723643269120.

The previous prime is 3439924899821. The next prime is 3439924899871. The reversal of 3439924899840 is 489984299343.

3439924899840 is a `hidden beast` number, since 3 + 439 + 9 + 24 + 8 + 99 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a super-3 number, since 3×3439924899840³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 4032736854 + ... + 4032737706.

Almost surely, 2^{3439924899840} is an apocalyptic number.

3439924899840 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 3439924899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678620579168).

3439924899840 is an abundant number, since it is smaller than the sum of its proper divisors (11917316258496).

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

3439924899840 is a wasteful number, since it uses less digits than its factorization.

3439924899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 3439924899840 in words is "three trillion, four hundred thirty-nine billion, nine hundred twenty-four million, eight hundred ninety-nine thousand, eight hundred forty".