345445100 has 432 divisors, whose sum is σ = 1122115680. Its totient is φ = 90316800.

The previous prime is 345445091. The next prime is 345445109. The reversal of 345445100 is 1544543.

345445100 = T₁ + T₂ + ... + T₁₂₇₄.

345445100 is a nontrivial binomial coefficient, being equal to C(1276, 3).

It is an interprime number because it is at equal distance from previous prime (345445091) and next prime (345445109).

It is a super-2 number, since 2×345445100² = 238664634228020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 345445100.

It is not an unprimeable number, because it can be changed into a prime (345445109) by changing a digit.

It is the 1274-th tetrahedral number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11911886 + ... + 11911914.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^345445100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561057840).

345445100 is an abundant number, since it is smaller than the sum of its proper divisors (776670580).

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

345445100 is a wasteful number, since it uses less digits than its factorization.

345445100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 345445100 is about 18586.1534481990. The cubic root of 345445100 is about 701.6593965153.

Adding to 345445100 its reverse (1544543), we get a palindrome (346989643).

The spelling of 345445100 in words is "three hundred forty-five million, four hundred forty-five thousand, one hundred".