34676465040 has 960 divisors, whose sum is σ = 145768170240. Its totient is φ = 7547904000.

The previous prime is 34676465029. The next prime is 34676465041. The reversal of 34676465040 is 4056467643.

It is a happy number.

34676465040 is a `hidden beast` number, since 34 + 6 + 76 + 46 + 504 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34676465041) 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, 264705775 + ... + 264705905.

It is an arithmetic number, because the mean of its divisors is an integer number (151841844).

Almost surely, 2^34676465040 is an apocalyptic number.

34676465040 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 34676465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72884085120).

34676465040 is an abundant number, since it is smaller than the sum of its proper divisors (111091705200).

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

34676465040 is a wasteful number, since it uses less digits than its factorization.

34676465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 34676465040 in words is "thirty-four billion, six hundred seventy-six million, four hundred sixty-five thousand, forty".