3670401413952 has 1344 divisors, whose sum is σ = 13547747799040. Its totient is φ = 924675637248.

The previous prime is 3670401413897. The next prime is 3670401413969. The reversal of 3670401413952 is 2593141040763.

3670401413952 is a `hidden beast` number, since 3 + 67 + 0 + 401 + 4 + 139 + 52 = 666.

3670401413952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 3670401413898 and 3670401413907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26405765499 + ... + 26405765637.

Almost surely, 2^{3670401413952} is an apocalyptic number.

3670401413952 is a gapful number since it is divisible by the number (32) 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 3670401413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773873899520).

3670401413952 is an abundant number, since it is smaller than the sum of its proper divisors (9877346385088).

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

3670401413952 is a wasteful number, since it uses less digits than its factorization.

3670401413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3670401413952 in words is "three trillion, six hundred seventy billion, four hundred one million, four hundred thirteen thousand, nine hundred fifty-two".