3743822880 has 288 divisors, whose sum is σ = 15073164288. Its totient is φ = 828057600.

The previous prime is 3743822857. The next prime is 3743822903. The reversal of 3743822880 is 882283473.

It is an interprime number because it is at equal distance from previous prime (3743822857) and next prime (3743822903).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3743822880² = 28032419513622988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306490 + ... + 318470.

It is an arithmetic number, because the mean of its divisors is an integer number (52337376).

Almost surely, 2^3743822880 is an apocalyptic number.

3743822880 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 3743822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536582144).

3743822880 is an abundant number, since it is smaller than the sum of its proper divisors (11329341408).

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

3743822880 is a wasteful number, since it uses less digits than its factorization.

3743822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3743822880 is about 61186.7868089181. The cubic root of 3743822880 is about 1552.7627286852.

The spelling of 3743822880 in words is "three billion, seven hundred forty-three million, eight hundred twenty-two thousand, eight hundred eighty".