3451100040 has 128 divisors (see below), whose sum is σ = 11522448000. Its totient is φ = 918791424.

The previous prime is 3451100033. The next prime is 3451100087. The reversal of 3451100040 is 400011543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3451099986 and 3451100022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763467 + ... + 767973.

It is an arithmetic number, because the mean of its divisors is an integer number (90019125).

Almost surely, 2^3451100040 is an apocalyptic number.

3451100040 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 3451100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761224000).

3451100040 is an abundant number, since it is smaller than the sum of its proper divisors (8071347960).

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

3451100040 is a wasteful number, since it uses less digits than its factorization.

3451100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3451100040 is about 58746.0640383677. The cubic root of 3451100040 is about 1511.1903891910.

Adding to 3451100040 its reverse (400011543), we get a palindrome (3851111583).

The spelling of 3451100040 in words is "three billion, four hundred fifty-one million, one hundred thousand, forty".