3442551840 has 864 divisors, whose sum is σ = 15371778240. Its totient is φ = 721115136.

The previous prime is 3442551823. The next prime is 3442551899. The reversal of 3442551840 is 481552443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3442551795 and 3442551804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766491 + ... + 24766629.

It is an arithmetic number, because the mean of its divisors is an integer number (17791410).

Almost surely, 2^3442551840 is an apocalyptic number.

3442551840 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 3442551840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685889120).

3442551840 is an abundant number, since it is smaller than the sum of its proper divisors (11929226400).

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

3442551840 is a wasteful number, since it uses less digits than its factorization.

3442551840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 3442551840 is about 58673.2634169943. The cubic root of 3442551840 is about 1509.9416435790.

The spelling of 3442551840 in words is "three billion, four hundred forty-two million, five hundred fifty-one thousand, eight hundred forty".