3451386240 has 512 divisors, whose sum is σ = 13395456000. Its totient is φ = 836075520.

The previous prime is 3451386229. The next prime is 3451386247. The reversal of 3451386240 is 426831543.

3451386240 is a `hidden beast` number, since 34 + 5 + 1 + 386 + 240 = 666.

It is a super-3 number, since 3×3451386240³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 3451386195 and 3451386204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3451386247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9106371 + ... + 9106749.

It is an arithmetic number, because the mean of its divisors is an integer number (26163000).

Almost surely, 2^3451386240 is an apocalyptic number.

3451386240 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 3451386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697728000).

3451386240 is an abundant number, since it is smaller than the sum of its proper divisors (9944069760).

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

3451386240 is a wasteful number, since it uses less digits than its factorization.

3451386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3451386240 is about 58748.4998957420. The cubic root of 3451386240 is about 1511.2321624159.

The spelling of 3451386240 in words is "three billion, four hundred fifty-one million, three hundred eighty-six thousand, two hundred forty".