345127383090 has 640 divisors, whose sum is σ = 1220404838400. Its totient is φ = 68058040320.

The previous prime is 345127383079. The next prime is 345127383113. The reversal of 345127383090 is 90383721543.

345127383090 is a `hidden beast` number, since 34 + 512 + 73 + 8 + 30 + 9 + 0 = 666.

It is a super-2 number, since 2×345127383090² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 56770671 + ... + 56776749.

It is an arithmetic number, because the mean of its divisors is an integer number (1906882560).

Almost surely, 2^345127383090 is an apocalyptic number.

345127383090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345127383090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610202419200).

345127383090 is an abundant number, since it is smaller than the sum of its proper divisors (875277455310).

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

345127383090 is a wasteful number, since it uses less digits than its factorization.

345127383090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 345127383090 in words is "three hundred forty-five billion, one hundred twenty-seven million, three hundred eighty-three thousand, ninety".