3478106157120 has 896 divisors, whose sum is σ = 14136477696000. Its totient is φ = 788586430464.

The previous prime is 3478106157089. The next prime is 3478106157121. The reversal of 3478106157120 is 217516018743.

3478106157120 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 1 + 0 + 615 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3478106157121) 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, 7141901517 + ... + 7141902003.

Almost surely, 2^{3478106157120} is an apocalyptic number.

3478106157120 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 3478106157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068238848000).

3478106157120 is an abundant number, since it is smaller than the sum of its proper divisors (10658371538880).

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

3478106157120 is a wasteful number, since it uses less digits than its factorization.

3478106157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 3478106157120 in words is "three trillion, four hundred seventy-eight billion, one hundred six million, one hundred fifty-seven thousand, one hundred twenty".