3448876800 has 216 divisors, whose sum is σ = 11442017664. Its totient is φ = 914862080.

The previous prime is 3448876793. The next prime is 3448876811. The reversal of 3448876800 is 86788443.

It is a super-3 number, since 3×3448876800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3448876800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5049259 + ... + 5049941.

It is an arithmetic number, because the mean of its divisors is an integer number (52972304).

Almost surely, 2^3448876800 is an apocalyptic number.

3448876800 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 3448876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721008832).

3448876800 is an abundant number, since it is smaller than the sum of its proper divisors (7993140864).

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

3448876800 is a wasteful number, since it uses less digits than its factorization.

3448876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 3448876800 is about 58727.1385306657. The cubic root of 3448876800 is about 1510.8658104962.

The spelling of 3448876800 in words is "three billion, four hundred forty-eight million, eight hundred seventy-six thousand, eight hundred".