3451299840 has 576 divisors, whose sum is σ = 13236350400. Its totient is φ = 859963392.

The previous prime is 3451299827. The next prime is 3451299853. The reversal of 3451299840 is 489921543.

3451299840 is a `hidden beast` number, since 3 + 4 + 512 + 9 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3451299827) and next prime (3451299853).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×3451299840³ (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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47278044 + ... + 47278116.

It is an arithmetic number, because the mean of its divisors is an integer number (22979775).

Almost surely, 2^3451299840 is an apocalyptic number.

3451299840 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 3451299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618175200).

3451299840 is an abundant number, since it is smaller than the sum of its proper divisors (9785050560).

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

3451299840 is an equidigital number, since it uses as much as digits as its factorization.

3451299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3451299840 is about 58747.7645532151. The cubic root of 3451299840 is about 1511.2195518744.

The spelling of 3451299840 in words is "three billion, four hundred fifty-one million, two hundred ninety-nine thousand, eight hundred forty".