34545192383520 has 768 divisors, whose sum is σ = 155280102727680. Its totient is φ = 6971756064768.

The previous prime is 34545192383509. The next prime is 34545192383521. The reversal of 34545192383520 is 2538329154543.

34545192383520 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 5 + 19 + 23 + 83 + 520 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (34545192383521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7131447 + ... + 10952073.

It is an arithmetic number, because the mean of its divisors is an integer number (202187633760).

Almost surely, 2^{34545192383520} is an apocalyptic number.

34545192383520 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 34545192383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77640051363840).

34545192383520 is an abundant number, since it is smaller than the sum of its proper divisors (120734910344160).

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

34545192383520 is a wasteful number, since it uses less digits than its factorization.

34545192383520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820694 (or 3820680 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 34545192383520 in words is "thirty-four trillion, five hundred forty-five billion, one hundred ninety-two million, three hundred eighty-three thousand, five hundred twenty".