34775879040 has 640 divisors, whose sum is σ = 145023436800. Its totient is φ = 7775834112.

The previous prime is 34775879029. The next prime is 34775879059. The reversal of 34775879040 is 4097857743.

34775879040 is a `hidden beast` number, since 3 + 477 + 5 + 87 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×34775879040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17054341 + ... + 17056379.

It is an arithmetic number, because the mean of its divisors is an integer number (226599120).

Almost surely, 2^34775879040 is an apocalyptic number.

34775879040 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 34775879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72511718400).

34775879040 is an abundant number, since it is smaller than the sum of its proper divisors (110247557760).

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

34775879040 is a wasteful number, since it uses less digits than its factorization.

34775879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 34775879040 in words is "thirty-four billion, seven hundred seventy-five million, eight hundred seventy-nine thousand, forty".