3453746880 has 224 divisors, whose sum is σ = 11442435840. Its totient is φ = 881520640.

The previous prime is 3453746827. The next prime is 3453746893. The reversal of 3453746880 is 886473543.

It is a super-2 number, since 2×3453746880² = 23856735022219468800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646567 + ... + 3647513.

Almost surely, 2^3453746880 is an apocalyptic number.

3453746880 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 3453746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721217920).

3453746880 is an abundant number, since it is smaller than the sum of its proper divisors (7988688960).

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

3453746880 is a wasteful number, since it uses less digits than its factorization.

3453746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 3453746880 is about 58768.5875276920. The cubic root of 3453746880 is about 1511.5766290356.

The spelling of 3453746880 in words is "three billion, four hundred fifty-three million, seven hundred forty-six thousand, eight hundred eighty".