3416742000 has 800 divisors, whose sum is σ = 14830193664. Its totient is φ = 741312000.

The previous prime is 3416741989. The next prime is 3416742001. The reversal of 3416742000 is 2476143.

3416742000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416742001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26081935 + ... + 26082065.

Almost surely, 2^3416742000 is an apocalyptic number.

3416742000 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 3416742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415096832).

3416742000 is an abundant number, since it is smaller than the sum of its proper divisors (11413451664).

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

3416742000 is a wasteful number, since it uses less digits than its factorization.

3416742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3416742000 is about 58452.9041194704. The cubic root of 3416742000 is about 1506.1586791740.

It can be divided in two parts, 34167 and 42000, that added together give a palindrome (76167).

The spelling of 3416742000 in words is "three billion, four hundred sixteen million, seven hundred forty-two thousand".