34493751503190 has 480 divisors, whose sum is σ = 114276015596160. Its totient is φ = 7418121854976.

The previous prime is 34493751503117. The next prime is 34493751503219. The reversal of 34493751503190 is 9130515739443.

34493751503190 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 3 + 7 + 515 + 0 + 31 + 90 = 666.

It is a super-2 number, since 2×34493751503190² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2818341091 + ... + 2818353329.

It is an arithmetic number, because the mean of its divisors is an integer number (238075032492).

Almost surely, 2^{34493751503190} is an apocalyptic number.

34493751503190 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 34493751503190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57138007798080).

34493751503190 is an abundant number, since it is smaller than the sum of its proper divisors (79782264092970).

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

34493751503190 is a wasteful number, since it uses less digits than its factorization.

34493751503190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16466 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 34493751503190 in words is "thirty-four trillion, four hundred ninety-three billion, seven hundred fifty-one million, five hundred three thousand, one hundred ninety".