3426374016 has 192 divisors, whose sum is σ = 10720710000. Its totient is φ = 1044099072.

The previous prime is 3426373997. The next prime is 3426374053. The reversal of 3426374016 is 6104736243.

It is a happy number.

3426374016 is a `hidden beast` number, since 3 + 4 + 2 + 637 + 4 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1631335 + ... + 1633433.

Almost surely, 2^3426374016 is an apocalyptic number.

3426374016 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 3426374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360355000).

3426374016 is an abundant number, since it is smaller than the sum of its proper divisors (7294335984).

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

3426374016 is a wasteful number, since it uses less digits than its factorization.

3426374016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3426374016 is about 58535.2373874062. The cubic root of 3426374016 is about 1507.5726707705.

The spelling of 3426374016 in words is "three billion, four hundred twenty-six million, three hundred seventy-four thousand, sixteen".