34945272040 has 128 divisors (see below), whose sum is σ = 93045841920. Its totient is φ = 11558764800.

The previous prime is 34945272013. The next prime is 34945272077. The reversal of 34945272040 is 4027254943.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34945271984 and 34945272002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866999 + ... + 2879161.

It is an arithmetic number, because the mean of its divisors is an integer number (726920640).

Almost surely, 2^34945272040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34945272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46522920960).

34945272040 is an abundant number, since it is smaller than the sum of its proper divisors (58100569880).

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

34945272040 is a wasteful number, since it uses less digits than its factorization.

34945272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543 (or 12539 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 34945272040 in words is "thirty-four billion, nine hundred forty-five million, two hundred seventy-two thousand, forty".