3734337978 has 96 divisors (see below), whose sum is σ = 9611871360. Its totient is φ = 1064456640.

The previous prime is 3734337977. The next prime is 3734337991. The reversal of 3734337978 is 8797334373.

3734337978 is a `hidden beast` number, since 3 + 73 + 433 + 79 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3734337973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1839468 + ... + 1841496.

It is an arithmetic number, because the mean of its divisors is an integer number (100123660).

Almost surely, 2^3734337978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734337978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805935680).

3734337978 is an abundant number, since it is smaller than the sum of its proper divisors (5877533382).

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

3734337978 is a wasteful number, since it uses less digits than its factorization.

3734337978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2582 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The square root of 3734337978 is about 61109.2298920548. The cubic root of 3734337978 is about 1551.4503217461.

The spelling of 3734337978 in words is "three billion, seven hundred thirty-four million, three hundred thirty-seven thousand, nine hundred seventy-eight".