3479824803840 has 768 divisors, whose sum is σ = 13937431173120. Its totient is φ = 720076800000.

The previous prime is 3479824803709. The next prime is 3479824803877. The reversal of 3479824803840 is 483084289743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593722510 + ... + 593728370.

It is an arithmetic number, because the mean of its divisors is an integer number (18147696840).

Almost surely, 2^{3479824803840} is an apocalyptic number.

3479824803840 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 3479824803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968715586560).

3479824803840 is an abundant number, since it is smaller than the sum of its proper divisors (10457606369280).

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

3479824803840 is a wasteful number, since it uses less digits than its factorization.

3479824803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 3479824803840 in words is "three trillion, four hundred seventy-nine billion, eight hundred twenty-four million, eight hundred three thousand, eight hundred forty".