34388046420 has 1152 divisors, whose sum is σ = 140484771840. Its totient is φ = 6091407360.

The previous prime is 34388046397. The next prime is 34388046431. The reversal of 34388046420 is 2464088343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 929406642 + ... + 929406678.

Almost surely, 2^34388046420 is an apocalyptic number.

34388046420 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 34388046420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70242385920).

34388046420 is an abundant number, since it is smaller than the sum of its proper divisors (106096725420).

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

34388046420 is a wasteful number, since it uses less digits than its factorization.

34388046420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 34388046420 in words is "thirty-four billion, three hundred eighty-eight million, forty-six thousand, four hundred twenty".