34754420736 has 224 divisors, whose sum is σ = 117684986880. Its totient is φ = 9929392128.

The previous prime is 34754420707. The next prime is 34754420737. The reversal of 34754420736 is 63702445743.

34754420736 is a `hidden beast` number, since 34 + 7 + 544 + 2 + 0 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 34754420691 and 34754420700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34754420737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537065 + ... + 1559511.

Almost surely, 2^34754420736 is an apocalyptic number.

34754420736 is a gapful number since it is divisible by the number (36) 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 34754420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58842493440).

34754420736 is an abundant number, since it is smaller than the sum of its proper divisors (82930566144).

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

34754420736 is an equidigital number, since it uses as much as digits as its factorization.

34754420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22489 (or 22459 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 34754420736 in words is "thirty-four billion, seven hundred fifty-four million, four hundred twenty thousand, seven hundred thirty-six".