3375840 has 96 divisors (see below), whose sum is σ = 11473056. Its totient is φ = 829440.

The previous prime is 3375833. The next prime is 3375857. The reversal of 3375840 is 485733.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3375840² = 22792591411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3⁷ + 3¹² + 7⁷ + 5⁹ + 8 + 4⁸ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3375798 and 3375807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5970 + ... + 6510.

It is an arithmetic number, because the mean of its divisors is an integer number (119511).

Almost surely, 2^3375840 is an apocalyptic number.

3375840 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 3375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736528).

3375840 is an abundant number, since it is smaller than the sum of its proper divisors (8097216).

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

3375840 is a wasteful number, since it uses less digits than its factorization.

3375840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3375840 is about 1837.3459119066. The cubic root of 3375840 is about 150.0124434122.

The spelling of 3375840 in words is "three million, three hundred seventy-five thousand, eight hundred forty".