34421434740 has 864 divisors, whose sum is σ = 141976074240. Its totient is φ = 6655219200.

The previous prime is 34421434727. The next prime is 34421434781. The reversal of 34421434740 is 4743412443.

34421434740 is a `hidden beast` number, since 3 + 4 + 42 + 143 + 474 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34421434695 and 34421434704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 130879849 + ... + 130880111.

It is an arithmetic number, because the mean of its divisors is an integer number (164324160).

Almost surely, 2^34421434740 is an apocalyptic number.

34421434740 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 34421434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70988037120).

34421434740 is an abundant number, since it is smaller than the sum of its proper divisors (107554639500).

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

34421434740 is a wasteful number, since it uses less digits than its factorization.

34421434740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 34421434740 in words is "thirty-four billion, four hundred twenty-one million, four hundred thirty-four thousand, seven hundred forty".