3375423360 has 256 divisors, whose sum is σ = 12020904000. Its totient is φ = 895131648.

The previous prime is 3375423329. The next prime is 3375423371. The reversal of 3375423360 is 633245733.

It is a super-2 number, since 2×3375423360² = 22786965718467379200, which contains 22 as substring.

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

It is a congruent number.

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, 3956694 + ... + 3957546.

Almost surely, 2^3375423360 is an apocalyptic number.

3375423360 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 3375423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010452000).

3375423360 is an abundant number, since it is smaller than the sum of its proper divisors (8645480640).

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

3375423360 is a wasteful number, since it uses less digits than its factorization.

3375423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The square root of 3375423360 is about 58098.3937815840. The cubic root of 3375423360 is about 1500.0627173777.

It can be divided in two parts, 3375 and 423360, that multiplied together give a square (1428840000 = 37800²).

The spelling of 3375423360 in words is "three billion, three hundred seventy-five million, four hundred twenty-three thousand, three hundred sixty".