3451933440 has 216 divisors, whose sum is σ = 12097700160. Its totient is φ = 908623872.

The previous prime is 3451933427. The next prime is 3451933493. The reversal of 3451933440 is 443391543.

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

It is a junction number, because it is equal to n+sod(n) for n = 3451933395 and 3451933404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908184 + ... + 911976.

Almost surely, 2^3451933440 is an apocalyptic number.

3451933440 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 3451933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048850080).

3451933440 is an abundant number, since it is smaller than the sum of its proper divisors (8645766720).

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

3451933440 is a wasteful number, since it uses less digits than its factorization.

3451933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3451933440 is about 58753.1568513557. The cubic root of 3451933440 is about 1511.3120242920.

The spelling of 3451933440 in words is "three billion, four hundred fifty-one million, nine hundred thirty-three thousand, four hundred forty".