3456788037120 has 2400 divisors, whose sum is σ = 14867982138240. Its totient is φ = 759037132800.

The previous prime is 3456788037119. The next prime is 3456788037133. The reversal of 3456788037120 is 217308876543.

It is a happy number.

3456788037120 is a `hidden beast` number, since 3 + 4 + 567 + 8 + 8 + 0 + 3 + 71 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41648048599 + ... + 41648048681.

Almost surely, 2^{3456788037120} is an apocalyptic number.

3456788037120 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 3456788037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433991069120).

3456788037120 is an abundant number, since it is smaller than the sum of its proper divisors (11411194101120).

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

3456788037120 is a wasteful number, since it uses less digits than its factorization.

3456788037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3456788037120 in words is "three trillion, four hundred fifty-six billion, seven hundred eighty-eight million, thirty-seven thousand, one hundred twenty".