34675671240 has 768 divisors, whose sum is σ = 144986112000. Its totient is φ = 7328724480.

The previous prime is 34675671223. The next prime is 34675671241. The reversal of 34675671240 is 4217657643.

34675671240 is a `hidden beast` number, since 3 + 4 + 67 + 567 + 1 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (34675671241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37731501 + ... + 37732419.

It is an arithmetic number, because the mean of its divisors is an integer number (188784000).

Almost surely, 2^34675671240 is an apocalyptic number.

34675671240 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 34675671240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72493056000).

34675671240 is an abundant number, since it is smaller than the sum of its proper divisors (110310440760).

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

34675671240 is a wasteful number, since it uses less digits than its factorization.

34675671240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 34675671240 in words is "thirty-four billion, six hundred seventy-five million, six hundred seventy-one thousand, two hundred forty".