3506400744000 has 448 divisors, whose sum is σ = 14435085330432. Its totient is φ = 728602368000.

The previous prime is 3506400743971. The next prime is 3506400744029. The reversal of 3506400744000 is 4470046053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3506400743971) and next prime (3506400744029).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899299 + ... + 2796701.

Almost surely, 2^{3506400744000} is an apocalyptic number.

3506400744000 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 3506400744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217542665216).

3506400744000 is an abundant number, since it is smaller than the sum of its proper divisors (10928684586432).

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

3506400744000 is a wasteful number, since it uses less digits than its factorization.

3506400744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897451 (or 1897431 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 3506400744000 in words is "three trillion, five hundred six billion, four hundred million, seven hundred forty-four thousand".