34261541263872 has 1600 divisors, whose sum is σ = 124893046333440. Its totient is φ = 9242814873600.

The previous prime is 34261541263871. The next prime is 34261541263897. The reversal of 34261541263872 is 27836214516243.

34261541263872 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 1 + 541 + 26 + 3 + 8 + 72 = 666.

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 (34261541263871) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7303673047 + ... + 7303677737.

Almost surely, 2^{34261541263872} is an apocalyptic number.

34261541263872 is a gapful number since it is divisible by the number (32) 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 34261541263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62446523166720).

34261541263872 is an abundant number, since it is smaller than the sum of its proper divisors (90631505069568).

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

34261541263872 is a wasteful number, since it uses less digits than its factorization.

34261541263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4782 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 34261541263872 in words is "thirty-four trillion, two hundred sixty-one billion, five hundred forty-one million, two hundred sixty-three thousand, eight hundred seventy-two".