3426678000 has 640 divisors, whose sum is σ = 13370572800. Its totient is φ = 836352000.

The previous prime is 3426677993. The next prime is 3426678007. The reversal of 3426678000 is 8766243.

It is an interprime number because it is at equal distance from previous prime (3426677993) and next prime (3426678007).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426678007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38501956 + ... + 38502044.

It is an arithmetic number, because the mean of its divisors is an integer number (20891520).

Almost surely, 2^3426678000 is an apocalyptic number.

3426678000 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 3426678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685286400).

3426678000 is an abundant number, since it is smaller than the sum of its proper divisors (9943894800).

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

3426678000 is a wasteful number, since it uses less digits than its factorization.

3426678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3426678000 is about 58537.8339196113. The cubic root of 3426678000 is about 1507.6172528288.

The spelling of 3426678000 in words is "three billion, four hundred twenty-six million, six hundred seventy-eight thousand".