34575147540 has 384 divisors, whose sum is σ = 113799168000. Its totient is φ = 8704143360.

The previous prime is 34575147527. The next prime is 34575147559. The reversal of 34575147540 is 4574157543.

34575147540 is a `hidden beast` number, since 3 + 4 + 57 + 51 + 4 + 7 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173744361 + ... + 173744559.

It is an arithmetic number, because the mean of its divisors is an integer number (296352000).

Almost surely, 2^34575147540 is an apocalyptic number.

34575147540 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 34575147540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899584000).

34575147540 is an abundant number, since it is smaller than the sum of its proper divisors (79224020460).

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

34575147540 is a wasteful number, since it uses less digits than its factorization.

34575147540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 34575147540 in words is "thirty-four billion, five hundred seventy-five million, one hundred forty-seven thousand, five hundred forty".